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chadbaldwin/auto_equations.tex

Last active September 1, 2023 00:57
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Latex code used for generating formulas in Auto Finance Equations blog post
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auto_equations.tex
% Standard loan forumula
P=\begin{cases}
\frac{r(PV)}{1-(1+r)^{-n}} &\text{if }r\neq0\\\\
\;\;\;\;\;\frac{PV}{n} &\text{if }r=0
\end{cases}
% Finance Cost - Using Payment and Loan Amount
FC=\frac{P}{PV}
% Finance Cost - Using Rate and Term
FC=\begin{cases}
\frac{r}{1-(1+r)^{-n}} &\text{if }r\neq0\\\\
\;\;\;\;\;\frac{1}{n} &\text{if }r=0
\end{cases}
% Finance Cost - Calculating cost per $1,000 financed
P=FC\cdot\$1,000
% Future Value
FV = PV(1+r)^n - P\left[ \frac{(1+r)^n-1}{r} \right]
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